因式分解x²-y²+6x-4y+5要求步骤完整,别跳步

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因式分解x²-y²+6x-4y+5要求步骤完整,别跳步
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因式分解x²-y²+6x-4y+5要求步骤完整,别跳步
因式分解x²-y²+6x-4y+5
要求步骤完整,别跳步

因式分解x²-y²+6x-4y+5要求步骤完整,别跳步
x²-y²+6x-4y+5
=x²+6x+9-y²-4y-4
=(x+3)²-(y+2)²
=(x+3-y-2)(x+3+y+2)
=(x-y+1)(x+y+5)

x²-y²+6x-4y+5
=x²-y²+6x-4y+9-4
=(x²+6x+9)-(y²+4y+4)
=(x+3)²-(y+2)²
=(x+3+y+2)(x+3-y-2)
=(x+y+5)(x-y+1)


x²-y²+6x-4y+5
=x²+6x+9-y²-4y-4+5-9+4
=(x+3)²-(y+2)²
=(x+3+y+2)(x+3-y-2)
=(x+y+5)(x-y+1)